Statistical analysis of the excited-state quantum phase transitions in the interacting boson model

被引：12

作者：

Dong, Wen-Ting ^{[1
]}

Zhang, Yu ^{[1
]}

He, Bing-Cheng ^{[2
]}

Pan, Feng ^{[1
,3
]}

Luo, Yan-An ^{[2
]}

Draayer, J. P. ^{[3
]}

Karampagia, S. ^{[4
,5
]}

机构：

[1] Liaoning Normal Univ, Dept Phys, Dalian 116029, Peoples R China

[2] Nankai Univ, Sch Phys, Tianjin 300071, Peoples R China

[3] Louisiana State Univ, Dept Phys & Astron, Baton Rouge, LA 70803 USA

[4] Michigan State Univ, Natl Superconducting Cyclotron Lab, E Lansing, MI 48824 USA

[5] Grand Valley State Univ, Dept Phys, Allendale, MI 49401 USA

来源：

JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS | 2021年 / 48卷 / 04期

基金：

美国国家科学基金会;

关键词：

the interacting boson model; quantum phase transition; spectral statistics; effective order parameter; LYING COLLECTIVE STATES; CHAOTIC PROPERTIES; ENERGY-LEVELS; SYMMETRY; FLUCTUATIONS; EVOLUTION; DYNAMICS; NUCLEI;

D O I：

10.1088/1361-6471/abdd8c

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

The spectral fluctuations and transition intensity fluctuations in the excited-state quantum phase transitions (ESQPTs) have been investigated within the framework of the interacting boson model (IBM) by adopting three statistical measures, including the nearest neighbor level spacing distribution P(S) measuring the chaoticity (regularity) in energy spectra, the Delta(3)(L) statistics of Dyson and Mehta measuring the spectral rigidity and the intensity distribution P(y) measuring the chaoticity (regularity) in B(E0) transitions. The results indicate that that the ESQPT as a function of the excitation energy may occur as a transition from regular (or semiregular) to highly chaotic if only the associated whole spectrum is chaotic, which fits most of the deformed situations in the IBM including those in the U(5)-SU(3) and SU(3)-O(6) transitional regions. Otherwise, the ESQPT will appear as a transition from regular (or semiregular) to regular such as the cases in the U(5)-O(6) transitional region or those on the 'Alhassid-Whelan arc', which represents a nearly regular parameter region connecting the U(5) and SU(3) limits in the IBM.

引用

页数：20

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